A Parametric Method for Ranking Intuitionistic Fuzzy Numbers and Its Application to Solve Intuitionistic Fuzzy Network Data Envelopment Analysis Models

In this study, a new parametric method is proposed to rank intuitionistic fuzzy numbers in a general form. One of the advantages of the proposed method is that the decision maker’s idea is taken into account by selecting appropriate amounts of decision level and hesitation degree parameters. In some...

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Main Authors: B. Shakouri, R. Abbasi Shureshjani, B. Daneshian, F. Hosseinzadeh Lotfi
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/6408613
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author B. Shakouri
R. Abbasi Shureshjani
B. Daneshian
F. Hosseinzadeh Lotfi
author_facet B. Shakouri
R. Abbasi Shureshjani
B. Daneshian
F. Hosseinzadeh Lotfi
author_sort B. Shakouri
collection DOAJ
description In this study, a new parametric method is proposed to rank intuitionistic fuzzy numbers in a general form. One of the advantages of the proposed method is that the decision maker’s idea is taken into account by selecting appropriate amounts of decision level and hesitation degree parameters. In some illustrative examples, the superiority of the proposed method over some other approaches is demonstrated. Furthermore, to show the ability of the method to solve intuitionistic fuzzy optimization problems, the proposed method is applied to solve intuitionistic fuzzy network data envelopment analysis (IFNDEA) problems. Also, in three appropriate examples, the validity of the suggested method and its capacity to solve real-world problems are illustrated.
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institution Kabale University
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publishDate 2020-01-01
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spelling doaj-art-8bde1d1fe55d4afe9943c82af557bd232025-02-03T05:49:38ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/64086136408613A Parametric Method for Ranking Intuitionistic Fuzzy Numbers and Its Application to Solve Intuitionistic Fuzzy Network Data Envelopment Analysis ModelsB. Shakouri0R. Abbasi Shureshjani1B. Daneshian2F. Hosseinzadeh Lotfi3Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, IranDepartment of Management, Humanities College, Hazrat-e Masoumeh University, Qom, IranDepartment of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, IranDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, IranIn this study, a new parametric method is proposed to rank intuitionistic fuzzy numbers in a general form. One of the advantages of the proposed method is that the decision maker’s idea is taken into account by selecting appropriate amounts of decision level and hesitation degree parameters. In some illustrative examples, the superiority of the proposed method over some other approaches is demonstrated. Furthermore, to show the ability of the method to solve intuitionistic fuzzy optimization problems, the proposed method is applied to solve intuitionistic fuzzy network data envelopment analysis (IFNDEA) problems. Also, in three appropriate examples, the validity of the suggested method and its capacity to solve real-world problems are illustrated.http://dx.doi.org/10.1155/2020/6408613
spellingShingle B. Shakouri
R. Abbasi Shureshjani
B. Daneshian
F. Hosseinzadeh Lotfi
A Parametric Method for Ranking Intuitionistic Fuzzy Numbers and Its Application to Solve Intuitionistic Fuzzy Network Data Envelopment Analysis Models
Complexity
title A Parametric Method for Ranking Intuitionistic Fuzzy Numbers and Its Application to Solve Intuitionistic Fuzzy Network Data Envelopment Analysis Models
title_full A Parametric Method for Ranking Intuitionistic Fuzzy Numbers and Its Application to Solve Intuitionistic Fuzzy Network Data Envelopment Analysis Models
title_fullStr A Parametric Method for Ranking Intuitionistic Fuzzy Numbers and Its Application to Solve Intuitionistic Fuzzy Network Data Envelopment Analysis Models
title_full_unstemmed A Parametric Method for Ranking Intuitionistic Fuzzy Numbers and Its Application to Solve Intuitionistic Fuzzy Network Data Envelopment Analysis Models
title_short A Parametric Method for Ranking Intuitionistic Fuzzy Numbers and Its Application to Solve Intuitionistic Fuzzy Network Data Envelopment Analysis Models
title_sort parametric method for ranking intuitionistic fuzzy numbers and its application to solve intuitionistic fuzzy network data envelopment analysis models
url http://dx.doi.org/10.1155/2020/6408613
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